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algebra intermediate

Problem

The roots of

(x^{2} - 3 x + 2) (x) (x - 4) = 0

are:

(A)

4

(B)

0 and 4

(C)

1 and 2

(D)

0, 1, 2 and 4

Solution

Factor

x^{2} - 3 x + 2

to get

(x - 2) (x - 1) .

The roots are

0, 1, 2 and 4

Final answer

D